Early detection of rogue waves by the wavelet transforms

Bayindir C.

PHYSICS LETTERS A, cilt.380, ss.156-161, 2016 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 380
  • Basım Tarihi: 2016
  • Doi Numarası: 10.1016/j.physleta.2015.09.051
  • Dergi Adı: PHYSICS LETTERS A
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.156-161
  • Anahtar Kelimeler: Early detection of rogue waves, Nonlinear Schrodinger equation, Wavelet transform, Fourier transform
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

We discuss the possible advantages of using the wavelet transform over the Fourier transform for the early detection of rogue waves. We show that the triangular wavelet spectra of the rogue waves can be detected at early stages of the development of rogue waves in a chaotic wave field. Compared to the Fourier spectra, the wavelet spectra are capable of detecting not only the emergence of a rogue wave but also its possible spatial (or temporal) location. Due to this fact, wavelet transform is also capable of predicting the characteristic distances between successive rogue waves. Therefore multiple simultaneous breaking of the successive rogue waves on ships or on the offshore structures can be predicted and avoided by smart designs and operations. (C) 2015 Elsevier B.V. All rights reserved.